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23382529 = 971931249
BaseRepresentation
bin101100100110…
…0101000000001
31121222221210121
41121030220001
521441220104
62153100241
7402514432
oct131145001
947887717
1023382529
1112220705
1279b7681
134ac8c21
143169489
1520bd254
hex164ca01

23382529 has 8 divisors (see below), whose sum is σ = 23765000. Its totient is φ = 23003136.

The previous prime is 23382523. The next prime is 23382539. The reversal of 23382529 is 92528332.

It can be written as a sum of positive squares in 4 ways, for example, as 801025 + 22581504 = 895^2 + 4752^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(23382529) divides (23382529-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 23382529 - 29 = 23382017 is a prime.

It is a deceptive number, since it divides R23382528.

It is a junction number, because it is equal to n+sod(n) for n = 23382494 and 23382503.

It is not an unprimeable number, because it can be changed into a prime (23382523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18097 + ... + 19345.

It is an arithmetic number, because the mean of its divisors is an integer number (2970625).

It is a Poulet number, since it divides 223382528-1.

Almost surely, 223382529 is an apocalyptic number.

It is an amenable number.

23382529 is a deficient number, since it is larger than the sum of its proper divisors (382471).

23382529 is a wasteful number, since it uses less digits than its factorization.

23382529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539.

The product of its digits is 25920, while the sum is 34.

The square root of 23382529 is about 4835.5484694086. The cubic root of 23382529 is about 285.9546482932.

The spelling of 23382529 in words is "twenty-three million, three hundred eighty-two thousand, five hundred twenty-nine".

Divisors: 1 97 193 1249 18721 121153 241057 23382529